Which series of transformations maps △ABC to △A′B′C′?
Two triangles with vertices A (1, 6), B (5, 0), C (5, 6), & A prime (8, negative 1), B prime (2, negative 5), C prime (8, negative 5).

© 2020 StrongMind. Created using GeoGebra.

Select all that apply.
a translation right 2 units and a rotation 270∘ counterclockwise about the origin
a rotation 90∘ clockwise about the origin and a translation right 2 units
a translation right 2 units and a rotation 90∘ clockwise about the origin
a rotation 270∘ counterclockwise about the origin and a translation right 2 units

Answers

Answer 1

C -  When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative


Related Questions

The company plans to increase the width and length of the large box by 4 inches each to create a new larger box. How many more of the small boxes will be able to fit inside this new larger box compared to the original large box?

Answers

Answer:

Answer:16

Step-by-step explanation: 2x2 is 4

4x4. Is 16w

W stand for width

Step-by-step explanation:

Given ABC with B = 90 and sides AB=3 BC=4 and AC=5. What is side A

Answers

Hope you can understand this

Can somebody help please?

Answers

I think the answer should be 2 if I’m not mistaken

Raymond bought wrapping paper that cost
$0.04 per square inch. How much did it cost to
wrap this box.

Answers

Answer: $46.08

Step-by-step explanation:

Find the surface Area of the box

the bases are 12*12= 144 times 2 bases 144*2= 288

The area of each side is 12*18=216 times 4 sides 216*4=864

add the totals together to find the total surface area 288+864=1152

total surface area is 1152 inches. Multiply by the cost per square inch

1152*.04= 46.08

Find the value of X. geometry!! only answer if you know how please !

Answers

Answer:

x = 136

Step-by-step explanation:

This one is quite simple

The shape formed inside of the circle is a quadrilateral.

when a quadrilateral is formed inside of a circle opposite angles of the quadrilateral will add up to 180

we are given x's opposite angle so we can find x by subtracting the given angle's measure (44) from 180

so x = 180 - 44

180 - 44 = 136

hence, x = 136

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100. You scored a 625. Calculate your z-score to the nearest hundredth (i.e. 2 decimal places).

z=

Answers

Answer: The required z-score = 1.25

Step-by-step explanation:

Let x be a random variable that denotes the scores in the exam.

The formula for z-score = [tex]\dfrac{X-\text{mean}}{\text{standard deviation}}[/tex]

As per given, we have

X= 625, mean=500, standard deviation = 100

Z-score = [tex]\dfrac{625-500}{100}[/tex]

i.e. Z-score = [tex]\dfrac{125}{100}[/tex]

i.e. Z-score =1.25

Hence, the required z-score = 1.25

4. Vivian uses a debit card to pay for a purchase, but she spends more than she has in her bank account. What will happen next?​

Answers

Answer:

Vivian will have to get a loan, and pay back the money she spent with her debit card. If she cannot pay back this loan in time, the interest will grow higher and higher. Using a debit card is NOT good because if you don't have the money for something and you buy it anyway, you'll have to pay back double the money if you miss the deadline for the loan.

What’s the area of the figure?

Answers

The area should be 36.

The formula for area is base times height [A=b(h)]

What is an equation of the line that passes through the point (-5,-2) and is
parallel to the line x - y = 5?

Answers

Answer:

[tex]y=x+3[/tex]

Step-by-step explanation:

What we need to know

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines have the same slope

1) Rewrite the equation x - y = 5 into slope-intercept form and identify the slope

[tex]x - y = 5[/tex]

Subtract both sides by x

[tex]x - y -x= -x+5\\-y= -x+5[/tex]

Divide both sides by -1

[tex]y= x-5[/tex]

Now, we can tell clearly that the slope (m) of this line is 1. Therefore, a line parallel to this would also have a slope of 1.

Plugging 1 as m into [tex]y=mx+b[/tex], we get:

[tex]y=x+b[/tex]

2) Find the y-intercept (b) of the line parallel to [tex]y= x-5[/tex] and find the final equation

[tex]y=x+b[/tex]

Plug in the given point (-5,-2)

[tex]-2=-5+b[/tex]

Add 5 to both sides

[tex]-2+5=-5+b+5\\3=b[/tex]

Therefore, the y-intercept of this line is 3. Now, plugging this back into our original equation, we get:

[tex]y=x+b\\y=x+3[/tex]

I hope this helps!

What is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet? Be sure to convert so you are using like units.

Answers

Answer:

The height of the tank is 0.5 yards.

Step-by-step explanation:

To determine what is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet, knowing that the volume of a cylinder is equal to pi multiplied by the radius squared, multiplied by the height, the following calculation must be done:

1 foot = 0.3333 yards

R = Diameter / 2

R = 120/2 = 60

3.14 x 60 ^ 2 x H = 1,884

3.14 x 3,600 x H = 1,884

3.14 x 1,200 x H = 1,884

3.768 x H = 1.884

H = 1,884 / 3,768

H = 0.5

Therefore, the height of the tank is 0.5 yards.

What percent of 400 is 8?
help
no links

Answers

Answer:

2%

Step-by-step explanation:

Hello, to find the percentage of 8 and 400, you simply divide 8 over 400 and you get 2%.

Answer:

2%

Step-by-step explanation:

[tex]\frac{8}{400} =\frac{y}{100}[/tex]

Cross multiply.

400y = 800

400y ÷ 400 = 800 ÷ 400

y = 2

y divided by the product of 3 and x

Answers

Answer: y/3x

Step-by-step explanation: 3 times x is 3x, so y/3x

The number of bacteria in a petri dish triples every month, if the dish started with 25 bacteria, how many will there be an 8 months?

Answers

Answer:

600

Step-by-step explanation:

25x3 (per month) therefore it would be 75 times 8

Answer:

164025

Step-by-step explanation:

Mackenzie thought that the basketball
team would win 16 games, but they
only won 12. What was his percent
error?

Answers

His percent error is 25% because 12 is 75% of 16. 100 - 75 = 25

Answer:

75% correct and 25%error

Step-by-step explanation:

As 12÷16×100=75%

The error =100-75=25%

at a football game, every person is either a fan of the home team or of the visiting team. omar observes that the ratio of fans of the home team to fans of the visiting team is 7:2. omar states that the total number of fans at the game must be an odd number because 7 + 2 = 9 and 9 is an odd number.

Determine a number of fans of the home team and a number of fans of the visiting team that show omar statement is false.

the first question is, enter a number of fans of the home team that would show Omar's statement is false.

the second question, enter a number of fans of the visiting team that would show omar statement is false.



pls I need help!!!!!!​

Answers

14 fans for the home team and 4 for the away will still hold the ratio and prove Omar’s statement false.

please answer and explain #17 :)

Answers

Answer:

Solution given:

we have

m<PTQ=m<RTS

x+20=3x+12.

20-12=3x-x

x=

[tex] \frac{8}{2} [/tex]

now

16.m<PTQ=x+20=4+20=24°

17.

again

m<PTR+m<PTQ=180°[supplementary]

so

m<PTR=180°-24°=156° is your answer

Answer:

156°

Step-by-step explanation:

I see you have already found the x so now plug it in.

(4)+20=24

(4)(3)+12= 24

Since they are vertical angles, then they are congruent, thats why they are equal. By now I think you should know that a straight line is equal to 180, so lets take 1 angle to find the missing one.

We can also see that ∠PTR and ∠RTS are also vertical angles, so they are also congruent. So we only use one, 180-24=156

the answer is 156 because ∠PTR and ∠PTQ are in the same line making them supplementary.

Does that make sense?

find the slope of each line​

Answers

Answer:

(1,1) and (2,-4)

Step-by-step explanation:

i supposed each line is 1,2,3,4,5 because it is not given the graph numbers but I hope it could help

Please help mee (don't send a link)

Answers

Answer:

a

Step-by-step explanation:

the sign flips when you divide or multiply one

Answer:

B.

Step-by-step explanation:

4x-8>(with a line underneath)12

-8 -8

4x>(with a line underneath)12

/4 /4

x>(with a line underneath)3

It stays the same because you aren't dividing or multiplying by a negative. Only a negative will cause you to flip the inequality sign.

Which graph represents a direct variation?

Answers

I don't know all of them I guess since I can't see the graphs

Answer:

The graph of the direct variation equation is a straight line through the origin.

Step-by-step explanation:

Out of 180 students, 50 students play Piano, 68 play Guitar, and 59 play Flute
. Also 35 play Piano and Guitar, 40 play Guitar and Flute and 25 play Piano and Flute. 15
play all, Piano, Guitar and flute.
Draw a Venn diagram to represent this information.

Answers

Answer:

Step-by-step explanation:

A Venn diagram depicts the logical relationships between two or more sets of elements by using alternating circles or other shapes. They're often used to visually arrange information, showing how objects are similar and different. In the fields of mathematics and statistics, Venn diagrams, also known as "set diagrams" or "logic diagrams," are commonly used.

From the given information:

Since we are to represent the given question into a Venn diagram, the diagram is being attached in the image below.

From the image below, we represent:

P =students that played Paino

G = students that played guitar

F = students that played flute

P = 50

G = 68

F = 59

(PUG) -35

(PUF) = 59

(GUF) = 40

since the value of (PUGUF) is not given, we represent it with x.

See the attached image below for diagrammatic representation of the Venn diagram.

Which is equivalent to 12^0?

Answers

Answer:

the answer is 1

Step-by-step explanation:

I hope this was helpful

Answer is 0!!!

When we raise a number to the zeroth power, that means we multiply itself 0 times. You’re not multiplying anything at all. 0 is the only number such that for any number x,x+0=x

A triangle has two sides of length 17 and 4. What is the smallest possible whole-number
length for the third side?

Answers

Answer:

14

Step-by-step explanation:

because the sum of the 2 smaller side have to add up to greater than the larger side

x+4 > 17

x > 13

14 is the next biggest whole number

Please I beg of you answer this question please answer this correctly no links no trolls pleaseeee

Answers

Answer:

Step-by-step explanation:

pi r^2 for area

pi 35^2

pi1225= about 3848.45

2pi r for circumference

2pi35

pi70= about 219.9

look at pic 10 pts will mark brainilest

Answers

Answer:

its a right angle and the area of it is 24

Step-by-step explanation:

18
19
O 18-1/4
O
1/4"
1-1/4

Answers

Answer:

I think I don't understand the question

A guy wire for a tree is 14 feet long. Making a 41° angle with the ground, how far is the base of the tree from the stake anchoring the wire?​

Answers

Draw the picture; you have a right triangle. The guy wire is the hypotenuse
You want the length of the base when the side opposite the 41 degree angle
is the tree.
You have an angle and the hypotenuse; the base is the side adjacent to the
41 degree angle.
EQUATION:
cos(41) = adjacent/hypotenuse = x/14
14cos(41) = x
x = 10.57 ft

The carpet for the office you completed cost $576. If you're using the same carpet in the new client's bedroom, how much will it cost? Round up to the nearest whole dollar. (Hint: You may want to find the area of each room and the cost of the carpet per square foot.)

A. $360

B. $280

C. $64

D. $225

Answers

Answer:

D. 225

Step-by-step explanation:

I need help please
I’m desperate

Answers

Answer:

Volume = 2880m²

Surface area = 1632m²

Step-by-step explanation:

The prism shown is a triangular prism

The volume of the prism can be found by multiplying the area of the base by the length of the prism

The base being a triangle.

The area of a triangle can be calculated by using this formula

[tex]A=\frac{bh}{2}[/tex]

where b = base length and h = height

The base length of the particular triangle is 12 m and the height is 16

That being said we plug in the values into the formula

[tex]A=\frac{12*16}{2} \\12*16=192\\\frac{192}{2} =96[/tex]

Hence the area of the base is 96 square meters

Finally we multiply the area of the base by the length of the prism ( which is 30 m )

So volume = 96 * 30

96 * 30 = 2880

Hence the volume of the triangular prism is 2880m²

Now to find the surface area

Kindly check the image below for information on the formula for surface area of a triangular prism

Formula = [tex]SA=bh+L(s_1+s_2+s_3)[/tex]

where b = base length

h = height of base

L = length of prism

S1 also = base

S2 = base height

S3 = slant height of base

The shown triangle has the following dimensions

b = 12

h = 16

L = 30

S1 = 12

S2 = 16

S3 = 20

Now that we have identified each dimension, we plug in the values into the formula

[tex]SA=16*12 + 30(12+16+20)\\16*12=192\\30*12=360\\30*16=480\\30*20=600\\600+192+480+360=1632\\SA=1632m^2[/tex]

So we can conclude that the surface area of the triangular prism is 1632m²

thomas has 12 more marbles than twice the number of marbles Andrew has.
Andrew has x marbles. which expression represents how many marbles thomas has?
A. x + 2 + 12
B.x+12(2)
C.2x+12
D.2(x+12)​

Answers

Answer:

A.

x + 2 + 12

Step-by-step explanation:

Thomas (t) = Andrew (x) * 2 + 12

I just need help with this is anyone can help I would be happy Thx

Answers

Answer:

24 sq cm

Step-by-step explanation:

the big square is 20 and the small one is 4

The answer is 24
5•4=20
2•2=4
20+4=24.
I hope that’s help





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